The angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model  

作　　者：Kun Wang Bing-Nan Lu 王琨;吕炳楠(CAS Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100190,China;School of Physical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China;Graduate School of China Academy of Engineering Physics,Beijing 100193,China)

机构地区：[1]CAS Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100190,China [2]School of Physical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China [3]Graduate School of China Academy of Engineering Physics,Beijing 100193,China

出　　处：《Communications in Theoretical Physics》2022年第1期64-76,共13页理论物理通讯（英文版）

基　　金：This work has been supported by NSAF(Grant No.U1930403);the National Key R&D Program of China(Grant No.2018YFA0404402);the National Natural Science Foundation of China(Grant No.11525524,No.12070131001,No.12047503,and No.11961141004);the Key Research Program of Frontier Sciences of Chinese Academy of Sciences(Grant No.QYZDB-SSWSYS013);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDB34010000 and No.XDPB15).

摘　　要：Nuclear deformations are fundamentally important in nuclear physics.We recently developed a multidimensionally constrained relativistic Hartree-Bogoliubov(MDCRHB)model,in which all multipole deformations respecting the V_(4) symmetry can be considered self-consistently.In this work we extend this model by incorporating the angular momentum projection and parity projection to restore the rotational and parity symmetries broken in the mean-field level.This projected MDCRHB(p-MDCRHB)model enables us to connect certain nuclear spectra to exotic intrinsic shapes such as triangles or tetrahedrons.We present the details of the method and an exemplary calculation for ^(12)C.We develop a triangular moment constraint to generate the triangular configurations consisting of three α clusters arranged as an equilateral triangle.The resulting ^(12)C spectra are consistent with that from a triangular rigid rotor for large separations between the α clusters.We also calculate the B(E2)and B(E3)values for low-lying states and find good agreement with the experiments.

关 键 词：nuclear physics beyond mean field density functional nuclear clustering 

分 类 号：O571[理学—粒子物理与原子核物理]